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Need Help Understanding a Circuit (Atari 2600 XTAL Oscillator)

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Above is the image, it's the clock from an Atari 2600 Jr.

I'm new to electronics and all the books I've gone through so far don't cover XTALs. I have no idea why, seems pretty important to electronics. My searching over google/youtube hasn't gotten me any usefully direct answers either.

This particular circuit has a 3.579575Mhz XTAL, 2 PNPs, 7 Resistors, and 2 Capacitors. I'd like to know what's happening at each node and what's happening at CLOCK OUT in terms of the wave form (what's the end oscillating frequency at CLOCK OUT?).

Is there a circuit simulator (open source) that can allow you to input XTALs in a circuit? So far I haven't come across one.